2413257200640 has 2816 divisors, whose sum is σ = 10981782282240. Its totient is φ = 493470351360.

The previous prime is 2413257200611. The next prime is 2413257200707. The reversal of 2413257200640 is 460027523142.

2413257200640 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 2 + 5 + 7 + 2 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2413257200595 and 2413257200604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14450641837 + ... + 14450642003.

It is an arithmetic number, because the mean of its divisors is an integer number (3899780640).

Almost surely, 2^{2413257200640} is an apocalyptic number.

2413257200640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413257200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490891141120).

2413257200640 is an abundant number, since it is smaller than the sum of its proper divisors (8568525081600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2413257200640 is a wasteful number, since it uses less digits than its factorization.

2413257200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2413257200640 in words is "two trillion, four hundred thirteen billion, two hundred fifty-seven million, two hundred thousand, six hundred forty".